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Finding the Third Proportional to 184,465.50 and 397,989

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Solution

The third proportional to 184,465.50 and 397,989 is: 858,671.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,465.50 : 397,989 = 397,989 : x
  2. Step 2: Convert to fraction form
    184,465.50/397,989 = 397,989/x
  3. Step 3: Cross multiply
    184,465.50x = 397,989 × 397,989
  4. Step 4: Simplify right side
    184,465.50x = 158,395,244,121
  5. Step 5: Solve for x
    x = 158,395,244,121/184,465.50
  6. Step 6: Final answer
    x = 858,671.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.